Quasi-optimal robust stabilization of control systems

2006/07/19 by Christophe Prieur, Emmanuel Trélat, Prieur, Christophe +1
Engineering · Mathematics · #93B52 #93D15 #Adaptive Control of Nonlinear Systems #Control and Dynamics of Mobile Robots #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #math.OC #msc:93B52 #msc:93D15

paper · pdf · doi:10.48550/arxiv.math/0607457

arxiv created 2006/07/19 · openalex publication_date 2006/07/19 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal time singular trajectories, the solutions of the closed-loop system converge to the origin in quasi minimal time (for a given bound on the controller) with a robustness property with respect to small measurement noise, external disturbances and actuator noise.

Citations

• Geometric categories and o-minimal structures
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems

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